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Finding the Fourth Proportional to 15,140.64, 20,895.80 and 9,172.20

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Solution

The fourth proportional to 15,140.64, 20,895.80 and 9,172.20 is: 12,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.64 : 20,895.80 = 9,172.20 : x
  2. Step 2: Convert to fraction form
    15,140.64/20,895.80 = 9,172.20/x
  3. Step 3: Cross multiply
    15,140.64x = 20,895.80 × 9,172.20
  4. Step 4: Simplify right side
    15,140.64x = 191,660,456.76
  5. Step 5: Solve for x
    x = 191,660,456.76/15,140.64
  6. Step 6: Final answer
    x = 12,658.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.